CEE 379 Problem Set 8 Autumn 2007
(Due in-class, or Monday, Nov. 5th, 4:30 pm)
You can work in groups of 2-4 to complete this assignment. Turn in only one assignment
per group. Write the names of all members of the group on this sheet.
Names: 1.
2.
3.
4.
In this problem, you will derive the values for the first and third columns of the 1D beam
stiffness matrix by considering the fixed-fixed beam shown below. Assume that the
elastic modulus, E, and moment of inertia, I, are constant along the length of the beam.
a) Using the beam equation derived in class (i.e., EIv(x)'''' = w(x)= 0.0), compute the
beam deflected shape, v(x), if end N is restrained from rotating and displacing, while end
F is raised by a displacement equal to dFy’, and end F is restrained from rotating.
NEATLY sketch the deflected shape of the beam.
